The input-output table below is for the function p(h). Use the table to answer the question.

p(h) for Alice's Company
Hours of Training
Monthly Pay
10
$1100
20
$1200
30
$1300
40
$1400
50
$1500
60
$1600
70
$1700
What is the domain of p(h)? choose your answer...
What is the range of p(h)? choose your answer...

1 answer

The function \( p(h) \) represents the monthly pay based on the hours of training \( h \).

Domain of \( p(h) \)

The domain consists of all the input values (hours of training) for which the function is defined. Based on the table provided:

  • The hours of training, \( h \), are: 10, 20, 30, 40, 50, 60, and 70.

Thus, the domain of \( p(h) \) is: \[ \text{Domain} = { 10, 20, 30, 40, 50, 60, 70 } \]

Range of \( p(h) \)

The range consists of all the output values (monthly pay) that correspond to the input values in the domain. Based on the table:

  • The monthly pay values are: $1100, $1200, $1300, $1400, $1500, $1600, and $1700.

Thus, the range of \( p(h) \) is: \[ \text{Range} = { 1100, 1200, 1300, 1400, 1500, 1600, 1700 } \]

Summary

  • Domain: \( { 10, 20, 30, 40, 50, 60, 70 } \)
  • Range: \( { 1100, 1200, 1300, 1400, 1500, 1600, 1700 } \)
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